Issue |
A&A
Volume 689, September 2024
|
|
---|---|---|
Article Number | A285 | |
Number of page(s) | 17 | |
Section | Planets and planetary systems | |
DOI | https://doi.org/10.1051/0004-6361/202450744 | |
Published online | 20 September 2024 |
The evolution of the Md–M⋆ and Ṁ–M⋆ correlations traces protoplanetary disc dispersal
1
European Southern Observatory,
Karl-Schwarzschild-Strasse 2,
85748
Garching bei München,
Germany
2
Fakultat für Physik, Ludwig-Maximilians-Universität München,
Scheinersts. 1,
81679
München,
Germany
3
Dipartimento di Fisica e Astronomia, Università di Bologna,
Via Gobetti 93/2,
40122
Bologna,
Italy
4
INAF – Osservatorio Astrofisico di Arcetri,
Largo E. Fermi 5,
50125
Firenze,
Italy
5
Dipartimento di Fisica, Università degli Studi di Milano,
Via Celoria 16,
20133
Milano,
Italy
6
Université Paris-Saclay, CNRS, Institut d’Astrophysique Spatiale,
Orsay,
France
7
Universität Heidelberg, Zentrum für Astronomie, Institut für Theoretische Astrophysik,
Albert-Ueberle-Str. 2,
69120
Heidelberg,
Germany
8
Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen,
Im Neuenheimer Feld 205,
69120
Heidelberg,
Germany
9
Université Paris-Saclay, Université Paris Cité, CEA, CNRS, AIM,
91191
Gif-sur-Yvette,
France
10
Istituto Nazionale di Astrofisica-IAPS,
Via Fosso del Cavaliere 100,
00133
Roma,
Italy
Received:
16
May
2024
Accepted:
1
July
2024
Observational surveys of entire star-forming regions have provided evidence of power-law correlations between the disc-integrated properties and the stellar mass, especially the disc mass (Md ∝ M* λm) and the accretion rate (Ṁ ∝ M* λacc). Whether the secular disc evolution affects said correlations is still a matter of debate: while the purely viscous scenario has been investigated, other evolutionary mechanisms could have a different impact. In this paper, we study the time evolution of the slopes λm and λacc in the wind-driven and viscous-wind hybrid case and compare it to the purely viscous prediction. We use a combination of analytical calculations, where possible, and numerical simulations performed with the 1D population synthesis code Diskpop, which we also present and release to the community. Assuming (Md(0) ∝ M* λm,0) and (Ṁ(0) ∝ M* λacc,0) as initial conditions, we find that viscous and hybrid accretion preserve the power-law shape of the correlations, while evolving their slope; on the other hand, magneto-hydrodynamic winds change the shape of the correlations, bending them in the higher or lower end of the stellar mass spectrum depending on the scaling of the accretion timescale with the stellar mass. However, we show how a spread in the initial conditions conceals this behaviour, leading to power-law correlations with evolving slopes as in the viscous and hybrid case. We analyse the impact of disc dispersal, intrinsic in the wind model and due to internal photoevaporation in the viscous case: we find that the currently available sample sizes (~30 discs at 5 Myr) introduce stochastic oscillations in the slopes’ evolution, which dominate over the physical signatures. We show that we could mitigate this issue by increasing the sample size: with ~140 discs at 5 Myr, corresponding to the complete Upper Sco sample, we would obtain small enough error bars to use the evolution of the slopes as a proxy for the driving mechanism of disc evolution. Finally, from our theoretical arguments, we discuss how the observational claim of steepening slopes necessarily leads to an initially steeper Md–M* correlation with respect to Ṁ–M*.
Key words: accretion, accretion disks / planets and satellites: formation / protoplanetary disks / stars: pre-main sequence
© The Authors 2024
Open Access article, published by EDP Sciences, under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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